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Finding the Third Proportional to 421,258 and 546,494

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Solution

The third proportional to 421,258 and 546,494 is: 708,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,258 : 546,494 = 546,494 : x
  2. Step 2: Convert to fraction form
    421,258/546,494 = 546,494/x
  3. Step 3: Cross multiply
    421,258x = 546,494 × 546,494
  4. Step 4: Simplify right side
    421,258x = 298,655,692,036
  5. Step 5: Solve for x
    x = 298,655,692,036/421,258
  6. Step 6: Final answer
    x = 708,961.47

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.